Questions and Answers
What number should fill in the blank to make the equation $3x = 12$ true?
How many chairs does Mr. Davis set up altogether if he arranges 4 rows of 8 chairs?
Is the statement $6 imes 5 = (4 imes 5) + (2 imes 5)$ true?
If Miss Wong's class earns 5 points for each question and they score 40 points on Monday, how many questions did they answer correctly?
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Which of the following equations represents the same array as $2 imes 8$?
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What is the result of the equation $6 imes 5$?
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3x______=12
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6x5=___
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8/2=___
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Mr. Davis sets up 4 rows of 8 chairs. 4x8=___
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James draws this array to represent 2 x 8. He says the array also represents 8 x ___.
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If the students earn 5 points for each question and they score 40 points on Monday, they answered ___ questions.
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Study Notes
Multiplication and Division Concepts
- To solve for ( x ) in the equation ( 3x = 12 ), divide both sides by 3, resulting in ( x = 4 ).
- Multiplication problem: ( 6 \times 5 = 30 ).
- Division problem: ( 8 \div 2 = 4 ).
- Division calculation: ( 20 \div 4 = 5 ).
- Multiplication result: ( 7 \times 3 = 21 ).
Mr. Davis and Chair Arrangement
- Mr. Davis sets up 4 rows of 8 chairs, leading to a total of ( 4 \times 8 = 32 ) chairs.
- The equation ( 8 + 8 + 8 + 8 = 32 ) represents the same arrangement.
- Confirmation: ( 6 \times 5 = (4 \times 5) + (2 \times 5) ) shows that both sides equal 30 (20 + 10 = 30).
James' Array Representation
- James uses an array to show ( 2 \times 8 ), which can also represent ( 8 \times 2 ) due to the commutative property of multiplication.
- The commutative property indicates that changing the order of factors does not change the product.
Class Points Earned
- Miss Wong's class earns 5 points per question and accumulates 40 points on Monday.
- To find the number of questions answered correctly, divide total points by points per question: ( 40 \div 5 = 8 ).
- The class answered 8 questions correctly on Monday.
Multiplication and Division Concepts
- To solve for ( x ) in the equation ( 3x = 12 ), divide both sides by 3, resulting in ( x = 4 ).
- Multiplication problem: ( 6 \times 5 = 30 ).
- Division problem: ( 8 \div 2 = 4 ).
- Division calculation: ( 20 \div 4 = 5 ).
- Multiplication result: ( 7 \times 3 = 21 ).
Mr. Davis and Chair Arrangement
- Mr. Davis sets up 4 rows of 8 chairs, leading to a total of ( 4 \times 8 = 32 ) chairs.
- The equation ( 8 + 8 + 8 + 8 = 32 ) represents the same arrangement.
- Confirmation: ( 6 \times 5 = (4 \times 5) + (2 \times 5) ) shows that both sides equal 30 (20 + 10 = 30).
James' Array Representation
- James uses an array to show ( 2 \times 8 ), which can also represent ( 8 \times 2 ) due to the commutative property of multiplication.
- The commutative property indicates that changing the order of factors does not change the product.
Class Points Earned
- Miss Wong's class earns 5 points per question and accumulates 40 points on Monday.
- To find the number of questions answered correctly, divide total points by points per question: ( 40 \div 5 = 8 ).
- The class answered 8 questions correctly on Monday.
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Description
Test your knowledge of basic multiplication and division concepts with this quiz. You'll solve equations and perform calculations to reinforce your understanding of these fundamental operations. Use your skills to tackle various problems and improve your math abilities!
